arXiv:2006.03433 Abstract | arXiv Analytics

arXiv:2006.03433 [math.PR]Abstract References Reviews Resources

The speed of a biased random walk on a Galton-Watson tree is analytic

Published 2020-06-04Version 1

We prove that the speed of a biased random walk on a supercritical Galton-Watson tree conditioned to survive is analytic within the ballistic regime. This extends the previous work arXiv:1906.07913 in which it was shown that the speed is differentiable within the range of bias for which a central limit theorem holds.

Comments: 11 pages, 1 figure. arXiv admin note: text overlap with arXiv:1906.07913

Categories: math.PR

Subjects: 60J80, 60K37, 60J10, 05C81

Keywords: biased random walk, central limit theorem holds, ballistic regime, supercritical galton-watson tree

Related articles: Most relevant | Search more

arXiv:1106.4387 [math.PR] (Published 2011-06-22, updated 2011-12-22)

Einstein relation for biased random walk on Galton--Watson trees

Gerard Ben Arous, Yueyun Hu, Stefano Olla, Ofer Zeitouni

arXiv:1704.08844 [math.PR] (Published 2017-04-28)

The speed of biased random walk among random conductances

Noam Berger, Nina Gantert, Jan Nagel

arXiv:math/0606625 [math.PR] (Published 2006-06-24)